137780057 has 2 divisors, whose sum is σ = 137780058. Its totient is φ = 137780056.

The previous prime is 137780023. The next prime is 137780063. The reversal of 137780057 is 750087731.

137780057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124791241 + 12988816 = 11171^2 + 3604^2 .

It is a cyclic number.

It is not a de Polignac number, because 137780057 - 2⁸ = 137779801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137780057.

It is not a weakly prime, because it can be changed into another prime (137786057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68890028 + 68890029.

It is an arithmetic number, because the mean of its divisors is an integer number (68890029).

Almost surely, 2^137780057 is an apocalyptic number.

It is an amenable number.

137780057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137780057 is an equidigital number, since it uses as much as digits as its factorization.

137780057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 137780057 is about 11737.9749957137. The cubic root of 137780057 is about 516.4902410232.

The spelling of 137780057 in words is "one hundred thirty-seven million, seven hundred eighty thousand, fifty-seven".